Greatest Common Factor of 1350 and 1355

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 1350, 1355 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1350 and 1355 is 5.

GCF(1350,1355) = 5

GCF of 1350 and 1355

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 1350 and 1355

GCF of 1350 and 1355 is 5

Prime Factorization of 1350


2 1350
3 675
3 225
3 75
5 25
5 5
1

Prime factors of 1350 are 2,3,5. Prime factorization of 1350 in exponential form is:

1350 = 21×33×52

Prime Factorization of 1355


5 1355
271 271
1

Prime factors of 1355 are 5,271. Prime factorization of 1355 in exponential form is:

1355 = 51×2711

∴ So by taking common prime factors GCF of 1350 and 1355 is 5

Greatest Common Factor of 1350 and 1355 by matching factors method

Factors of 1350

List of positive integer factors of 1350 that divides 1350 without a remainder.

1,2,3,5,6,9,10,15,18,25,27,30,45,50,54,75,90,135,150,225,270,450,675,1350

Factors of 1355

List of positive integer factors of 1355 that divides 1355 without a remainder.

1,5,271,1355

Greatest Common Factor

We found the factors and prime factorization of 1350 and 1355. The biggest common factor number is the GCF number.
So the greatest common factor 1350 and 1355 is 5.

Also check out the Least Common Multiple of 1350 and 1355

Properties of GCF 1350 and 1355

(i) The GCF of 1350 and 1355 is associative

GCF of 1350 and 1355 = GCF of 1355 and 1350

Related Greatest Common Factor of 1350

Related Greatest Common Factor of 1355

Frequently Asked Questions on GCF of 1350 and 1355

1. What is the GCF of 1350 and 1355?

Answer: GCF of 1350 and 1355 is 5.

2. What are the Factors of 1350?

Answer: Factors of 1350 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675, 1350. There are 24 integers that are factors of 1350. The greatest factor of 1350 is 1350.

3. What are the Factors of 1355?

Answer: Factors of 1355 are 1, 5, 271, 1355. There are 4 integers that are factors of 1355. The greatest factor of 1355 is 1355.

4. How to Find the GCF of 1350 and 1355?

Answer:

Greatest Common Factor of 1350 and 1355 = 5

Step 1: Find the prime factorization of 1350

1350 = 2 x 3 x 3 x 3 x 5 x 5

Step 2: Find the prime factorization of 1355

1355 = 5 x 271

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 1350 and 1355 is 5